${\mathrm{CaCo}}_{2-y}{\mathrm{As}}_2$ is an unusual itinerant magnet with signatures of extreme magnetic frustration. The conditions for establishing magnetic order in such itinerant frustrated magnets, either by reducing frustration or increasing electronic correlations, is an open question. Here, we use results from inelastic neutron scattering and magnetic susceptibility measurements and density functional theory calculations to show that hole doping in $\mathrm{Ca}{\left({\mathrm{Co}}_{1-x}{\mathrm{Fe}}_x\right)}_{2-y}{\mathrm{As}}_2$ suppresses magnetic order by quenching the magnetic moment while maintaining the same level of magnetic frustration. The suppression is due to tuning the Fermi energy away from a peak in the electronic density of states originating from a flat conduction band. This results in the complete elimination of the magnetic moment by $x\approx 0.25$, providing a clear example of a Stoner-type transition.

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• Density of states
• Frustrated magnetism
• Magnetic order
• Magnetic phase transitions
• Quantum phase transitions
• Pnictides
• Strongly correlated systems
• DC susceptibility measurements
• Density functional theory
• Inelastic neutron scattering